Multiple Choice Questions on If X is any point within a square ABCD and on AX a square AXYZ is described which of the following i........... for CDS Exam Preparation

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Multiple Choice Questions

If X is any point within a square ABCD and on AX a square AXYZ is described which of the following i...........

Quantitative Aptitude (CDS) Coordinate Geometry
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    If X is any point within a square ABCD and on AX a square AXYZ is described, which of the following is/are correct?

    1. BX = DZ or BZ = DX

    2. ∠ABX = ∠ADZ or ∠ADX = ∠ABZ

    Select the correct answer using the code given below :

    1 only

    Incorrect Answer

    2 only

    Incorrect Answer

    Both 1 and 2

    Correct Answer

    Neither 1 nor 2

    Incorrect Answer
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    Explanation:


    ∠DAB ∠XAZ (90° each)
    ⇒ ∠DAB - ∠XAB =∠XAZ - ∠XAB
    ⇒∠DAX =∠BAZ
    In ΔDAX and ΔBAZ
    AX = AZ
    ∠DAX = ∠BAz
    AB= AD
    ∴ ΔDAX ≅ ΔBAZ (SAS congruence rule)
    ⇒ DX = BZ and ∠ADX = ∠ABZ (CPCT)
    Hence, both 1 and 2 are correct.

    By: Munesh Kumari
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